• DocumentCode
    1359682
  • Title

    Generalized functional observer

  • Author

    Zhang, Shou-yuan

  • Author_Institution
    Brookhaven Nat. Lab., Upton, NY, USA
  • Volume
    35
  • Issue
    6
  • fYear
    1990
  • fDate
    6/1/1990 12:00:00 AM
  • Firstpage
    733
  • Lastpage
    737
  • Abstract
    A functional observer and state feedback are proposed for singular systems in the polynomial fraction form that requires no impulsive mode elimination. The order of the compensator is determined by the newly defined generalized observability index that is associated with the McMillan degree of the system. A new generalized Lyapunov equation is also proposed through a realization scheme that can be applied to both ordinary and singular systems. The solution to the equation provides an algebraic approach to the observer of singular systems in the generalized state-space form
  • Keywords
    Lyapunov methods; compensation; feedback; polynomials; state estimation; McMillan degree; algebraic approach; compensator; functional observer; generalized Lyapunov equation; generalized observability index; generalized state-space form; polynomial fraction form; singular systems; state estimation; state feedback; Eigenvalues and eigenfunctions; Equations; Observability; Polynomials; State feedback; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.53556
  • Filename
    53556